Consider a two-way cross-classified model given by (a) Give the ANOVA table and compute the expected mean squares. (b) Use the expected mean squares to derive the unbiased estimators of the variance...

(a) Give the ANOVA table and compute the expected mean squares.

(b) Use the expected mean squares to derive the unbiased estimators of the variance components.

(c) Derive the standard errors of the unbiased estimators in (b).

(d) Give the test statistics for testing H₀: α₁
= ··· = α_a
and H₀: σ²
_β
= 0.